Instructions
Read each problem carefully and solve it to the best of your ability. Show your work where necessary. Write your final answers in the spaces provided.
1. Solve for x: 2x + 5 = 112. Graph the equation y = -2x + 3 and identify the y-intercept.
3. A bakery sells 250 loaves of bread per day. If they make a profit of $0.50 per loaf, how much profit do they make in 5 days?
4. Simplify the expression: 3(2x - 4) + 5
5. Solve the inequality: 4x - 7 ≥ 3x + 2
6. What is the value of x in the equation below? \[ \frac{2}{3}x = 6 \]
7. A boat travels 24 miles in 3 hours. If it continues at the same speed, how many hours will it take to travel 60 miles?
8. Solve the system of equations: y = x + 4 2x + 3y = 12
9. Factor the expression: x² + 5x + 6
10. A rectangular garden measures 10 meters by 5 meters. If a path of uniform width is built around the garden, and the area of the path is 50 square meters, find the width of the path.
Remember to check your work!